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Select all of the equations below that are equivalent to: $\newline$ $fg = 8$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $10 + fg = 18$ $\newline$ (B) $fg + 3 = 11$ $\newline$ (C) $fg + 4 = 12$ $\newline$ (D) $12 + fg = 20$

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Simplify exponential expressions using the multiplication and division rules

Full solution

Q. Select all of the equations below that are equivalent to:

\newline

fg = 8

\newline

Use properties of equality.

\newline

Multi-select Choices:

\newline

(A)

10 + fg = 18

\newline

(B)

fg + 3 = 11

\newline

(C)

fg + 4 = 12

\newline

(D)

12 + fg = 20

Evaluate Equation A: Evaluate the equation $A$ $10 + fg = 18$ . $\newline$ Subtract $10$ from both sides to see if $fg$ equals $8$ . $\newline$ $10 + fg - 10 = 18 - 10$ $\newline$ $fg = 8$
Evaluate Equation B: Evaluate the equation $(B) fg + 3 = 11$ . $\newline$ Subtract $3$ from both sides to see if $fg$ equals $8$ . $\newline$ $fg + 3 - 3 = 11 - 3$ $\newline$ $fg = 8$
Evaluate Equation C: Evaluate the equation $C$ $fg + 4 = 12$ . $\newline$ Subtract $4$ from both sides to see if $fg$ equals $8$ . $\newline$ $fg + 4 - 4 = 12 - 4$ $\newline$ $fg = 8$
Evaluate Equation D: Evaluate the equation $D$ $12 + fg = 20$ . Subtract $12$ from both sides to see if $fg$ equals $8$ . $12 + fg - 12 = 20 - 12$ $fg = 8$

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